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Networks and the quantum trace map

Mathematical Physics Seminar

Speaker: Fei Yan, Rutgers
Location: 918 3509 0938 Zoom-o-verse
Start time: Fri, Apr 16 2021, 11:00AM

In this talk I will describe the construction of a quantum trace map computing a link "invariant" (with possible wall-crossing behavior) for links L in a 3-manifold M, where M is a Riemann surface C times a real line. This construction unifies the computation of familiar link invariant with the refined counting of framed BPS states for line defects in 4d N=2 theories of class S. Certain networks on C play an important role in the construction. This talk is based on joint work with Andrew Neitzke.



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